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Finding the Fourth Proportional to 43,637, 65,455.50 and 14,057.84

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Solution

The fourth proportional to 43,637, 65,455.50 and 14,057.84 is: 21,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,637 : 65,455.50 = 14,057.84 : x
  2. Step 2: Convert to fraction form
    43,637/65,455.50 = 14,057.84/x
  3. Step 3: Cross multiply
    43,637x = 65,455.50 × 14,057.84
  4. Step 4: Simplify right side
    43,637x = 920,162,946.12
  5. Step 5: Solve for x
    x = 920,162,946.12/43,637
  6. Step 6: Final answer
    x = 21,086.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.